College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 8CQ
(a) The mass m of an object is proportional to its volume V: m = kV. What are the SI units of K? (b) If the distance d an object moves in time t is given by the equation d = At2, find the SI units of A. (c) If the speed v of an object depends on time t according to the equation v = A + Bt + Ct4. what are the SI units of A, B, and C?
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where:
m = mass, l = length, z = distance, t = time, v = speed = x/t, a = acceleration = v/t.
(a) What are the dimensions of z?
(b) What are the SI units of z?
(c) What are the US units of z?
mat
3v²/²
2. Express the following numbers in grams (g) and in scientific notation
(a) 0.035 mg,
(b) 350 ng,
(c) 105 kg,
(d) 0.250 μg,
(e) 256 g
3. Organize the following quantities in order from smallest to largest:
(a) 0.032 kg,
(b) 15 g,
(c) 2.75x10® ng,
(d) 4.3x10 mg,
(e) 2.75×10 μg
4. (a) How many significant figures are contained in the following numbers:
(i) 2020
(ii) 0.3010
(iii) 3.050
(iv) 1.10 x10-2
(v) 1.10 x10²
Consider the equation s = s0 + v0t + a0t2/2 + j0t3/6 + S0t4/24 + c0t5/120 , where s is length, and t is time. What are the SI units of (a) s0, (b) v0, (c) a0, (d) j0, (e) S0, and (f) c0? The answers are case sensitive. If you want to insert superscript use the notation "^". For example "m/s^2" means meters per second squared.
Physical units in mechanics are usually some combination of the dimensions time T, mass M, and length L. Consider the
physical quantities m, r, u, a, and t with dimensions [m] = M, [r] = L, [u] = LT-, [a] = LT-2, and [1] = T.
Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L,
T, and exponents.
Assume that each of the following equations is dimensionally consistent.
Lo = mur
[Lo] =
W = mar
[W] =
T
Chapter 1 Solutions
College Physics (10th Edition)
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